Pith Number

pith:QXE4JA5F

pith:2026:QXE4JA5F4WUF4N3RGPEBFSVZFW

not attested not anchored not stored refs pending

Spectral Initialization and Certification for Power System Angle Estimation

Andrew D. McRae, Iven Guzel, Richard Y. Zhang

arxiv:2607.06762 v1 · 2026-07-07 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXE4JA5F4WUF4N3RGPEBFSVZFW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-09T00:19:25.736395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c9c483a5e5a85e377133c812cab92d8d7be913e0ef598e652410e6be5a5b62

Aliases

arxiv: 2607.06762 · arxiv_version: 2607.06762v1 · doi: 10.48550/arxiv.2607.06762 · pith_short_12: QXE4JA5F4WUF · pith_short_16: QXE4JA5F4WUF4N3R · pith_short_8: QXE4JA5F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QXE4JA5F4WUF4N3RGPEBFSVZFW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 85c9c483a5e5a85e377133c812cab92d8d7be913e0ef598e652410e6be5a5b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61984963546b35d71897e62f6a96ab40cea008413f138b737763289fa72113fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-07T19:45:36Z",
    "title_canon_sha256": "1e9c54488f1ef873a91fff04dac81a32c0f19b23a43554d03ddc1e1d558207fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06762",
    "kind": "arxiv",
    "version": 1
  }
}